Where (what level) would the character of Gilgamesh in The Epic of Gilgamesh be placed in the Hell of Dante's Inferno?

This will be an interesting placement because the
characterization of Gilgamesh that is present at the start of the narrative is not the
same vision at the end of it.  In many ways, Gilgamesh is like Dante, himself, who must
endure a journey that exists on both physical and spiritual levels in order to fully
grasp his own sense of self and the evolution that is a part of his understanding of sin
and redemption.

With this in mind, I think that Dante would
place Gilgamesh in the circle of those who were unbaptized and thus could not follow God
through no fault of their own.  It is in this level that Dante has placed all of those
who have achieved greatness and a sense of immortality, but have done so without the
presence of a Christian God.  This is critical because Dante defines redemption as one
that must take place under the auspices and divine order of Christianity.  Without this,
Dante is strict about how redemption and a sense of liberation from the body is
impossible.  While Gilgamesh ends up being a wise and more understanding human being, it
is inconsequential to Dante because he did so without a sense of the Christian divine
helping or assisting him.  It is here where I think that Dante would place
Gilgamesh.